Mixed RF/FSO Relaying with Outdated Channel State Information

Djordjević, Goran T.; Petkovic, Milica I.; Cvetković, Aleksandra; Karagiannidis, George K.

doi:10.1109/jsac.2015.2432525

Cited by 42 publications

(85 citation statements)

References 41 publications

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“…The information signal is 0 or 2 P t , where P t denotes the average transmitted optical power. The received instantaneous SNR is defined as [, (9)]

γ = \frac{2 P_{t}^{2} η^{2} h^{2}}{σ_{n}^{2}},

…”

Section: Pdf Of Instantaneous Snrmentioning

confidence: 99%

“…The received signal intensity fluctuations are caused by the Gamma‐Gamma atmospheric turbulence, path loss, and pointing errors. The PDF of the received signal intensity, h , is given by [, (13)]. Consequently, the PDF of γ is derived as [, (19)]

f_{γ} (γ) = \frac{ξ^{2}}{2 Γ (α) Γ (β) γ} G_{1, 3}^{3, 0} (α β κ \sqrt{\frac{γ}{μ}} |\begin{matrix} ξ^{2} + 1 \\ \begin{matrix} ξ^{2}, & α, & β \end{matrix} \end{matrix}),

where

G_{p, q}^{m, n} (\cdot)

denotes the Meijer's G ‐function [, (07.34.02.0001.01)] and

κ = ξ^{2} / ()(, ξ^{2} + 1)

.…”

Section: Pdf Of Instantaneous Snrmentioning

confidence: 99%

“…The PDF of the received signal intensity, h , is given by [, (13)]. Consequently, the PDF of γ is derived as [, (19)]

f_{γ} (γ) = \frac{ξ^{2}}{2 Γ (α) Γ (β) γ} G_{1, 3}^{3, 0} (α β κ \sqrt{\frac{γ}{μ}} |\begin{matrix} ξ^{2} + 1 \\ \begin{matrix} ξ^{2}, & α, & β \end{matrix} \end{matrix}),

where

G_{p, q}^{m, n} (\cdot)

denotes the Meijer's G ‐function [, (07.34.02.0001.01)] and

κ = ξ^{2} / ()(, ξ^{2} + 1)

. The atmospheric turbulence parameters α and β are determined as [, (14)]

\begin{matrix} α = {()(, exp (][, 0.49 σ_{R}^{2} / {()(, 1 + 1.11 σ_{R}^{12 false/ 5})}^{7 false/ 6}) - 1)}^{- 1}, \\ β = {()(, exp (][, 0.51 σ_{R}^{2} / {()(, 1 + 0.69 σ_{R}^{12 false/ 5})}^{5 false/ 6}) - 1)}^{- 1} . \end{matrix}

…”

Section: Pdf Of Instantaneous Snrmentioning

confidence: 99%

“…The Rytov variance is denoted as [, (15)]

σ_{R}^{2} = 1.23 C_{n}^{2} k^{7 / 6} L^{11 / 6},

where

k = 2 π / λ

is the wave number, λ is the wavelength, and L is the propagation distance. The refractive index structure parameter,

C_{n}^{2}

, determines the atmospheric turbulence strength.…”

Section: Pdf Of Instantaneous Snrmentioning

confidence: 99%

“…The average electrical SNR is defined as [, (18)]

μ = \frac{2 P_{t}^{2} η^{2} κ^{2} A_{0}^{2} h_{l}^{2}}{σ_{n}^{2}},

with the atmospheric path loss described by the exponential Beers‐Lambert law as

h_{l} = exp (- σ L),

where σ denotes the atmospheric attenuation coefficient for clear air terms. The parameter A 0 is the maximal fraction of the collected power, defined as

A_{0} = {(][, normalerf ()(, v))}^{2}

, .…”

Section: Pdf Of Instantaneous Snrmentioning

confidence: 99%

See 4 more Smart Citations

Impact of Temporary Link Blockage on Ergodic Capacity of FSO System

Petkovic¹,

Djordjević²

2018

ETRI Journal

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Free-space optical (FSO) systems have attracted much attention from both research and application perspectives owing to their many benefits, such as license-free operation, low-cost, and high data rates. This paper investigates the ergodic capacity of FSO systems, which is an important metric of system performance. The stochastic temporary laser-beam blockage, pointing errors, and atmospheric turbulence are simultaneously considered. The results illustrate that the link blockage causes a decreased ergodic capacity. We show that to maximize the ergodic capacity, there is an optimal value of the laser-beam radius at the waist, which largely depends on pointing errors; however, it is independent of the atmospheric turbulence and the probability of link blockage.

show abstract

“…The information signal is 0 or 2 P t , where P t denotes the average transmitted optical power. The received instantaneous SNR is defined as [, (9)]

γ = \frac{2 P_{t}^{2} η^{2} h^{2}}{σ_{n}^{2}},

…”

Section: Pdf Of Instantaneous Snrmentioning

confidence: 99%

f_{γ} (γ) = \frac{ξ^{2}}{2 Γ (α) Γ (β) γ} G_{1, 3}^{3, 0} (α β κ \sqrt{\frac{γ}{μ}} |\begin{matrix} ξ^{2} + 1 \\ \begin{matrix} ξ^{2}, & α, & β \end{matrix} \end{matrix}),

where

G_{p, q}^{m, n} (\cdot)

denotes the Meijer's G ‐function [, (07.34.02.0001.01)] and

κ = ξ^{2} / ()(, ξ^{2} + 1)

.…”

Section: Pdf Of Instantaneous Snrmentioning

confidence: 99%

“…The PDF of the received signal intensity, h , is given by [, (13)]. Consequently, the PDF of γ is derived as [, (19)]

f_{γ} (γ) = \frac{ξ^{2}}{2 Γ (α) Γ (β) γ} G_{1, 3}^{3, 0} (α β κ \sqrt{\frac{γ}{μ}} |\begin{matrix} ξ^{2} + 1 \\ \begin{matrix} ξ^{2}, & α, & β \end{matrix} \end{matrix}),

where

G_{p, q}^{m, n} (\cdot)

denotes the Meijer's G ‐function [, (07.34.02.0001.01)] and

κ = ξ^{2} / ()(, ξ^{2} + 1)

. The atmospheric turbulence parameters α and β are determined as [, (14)]

\begin{matrix} α = {()(, exp (][, 0.49 σ_{R}^{2} / {()(, 1 + 1.11 σ_{R}^{12 false/ 5})}^{7 false/ 6}) - 1)}^{- 1}, \\ β = {()(, exp (][, 0.51 σ_{R}^{2} / {()(, 1 + 0.69 σ_{R}^{12 false/ 5})}^{5 false/ 6}) - 1)}^{- 1} . \end{matrix}

…”

Section: Pdf Of Instantaneous Snrmentioning

confidence: 99%

“…The Rytov variance is denoted as [, (15)]

σ_{R}^{2} = 1.23 C_{n}^{2} k^{7 / 6} L^{11 / 6},

where

k = 2 π / λ

is the wave number, λ is the wavelength, and L is the propagation distance. The refractive index structure parameter,

C_{n}^{2}

, determines the atmospheric turbulence strength.…”

Section: Pdf Of Instantaneous Snrmentioning

confidence: 99%

“…The average electrical SNR is defined as [, (18)]

μ = \frac{2 P_{t}^{2} η^{2} κ^{2} A_{0}^{2} h_{l}^{2}}{σ_{n}^{2}},

with the atmospheric path loss described by the exponential Beers‐Lambert law as

h_{l} = exp (- σ L),

where σ denotes the atmospheric attenuation coefficient for clear air terms. The parameter A 0 is the maximal fraction of the collected power, defined as